Question

17. A rectangle's length is 5 centimeters greater

than its width. The perimeter of the rectangle
is 46 centimeters. Which equation could be
used to find the width?
A. 4w + 5 = 46
B. 4w + 10 = 46
C. 2w + 5 = 46
D. 2w + 10 = 46

Answer 1

C. 2w + 5 = 46

Reason why is because a rectangle has 4 sides, but you only want to multiply length times the width, to get the perimeter, which is why 2w in the equation is correct.

It also says 5 centimeters greater, the is why it would be + 5 instead of 10.

Explanation:

Hope it helps! =D

Answer 2

B. 4w + 10 = 46

Explanation:

If we let l be the length of the rectangle and w its width

Fact 1: A rectangle's length is 5 centimeters greater than its width
This translates to l = w + 5 (1)

Fact 2: he perimeter of the rectangle is 46 centimeters
Perimeter is given by 2(l + w)
So fact 2 translates to:
2(l + w) = 45
2l + 2w = 46 (2)

Substitute l = w + 5 from (1) for l in (2):

2(w + 5) + 2w = 46
2w + 10 + 2w = 46

4w + 10 = 46

This is Option B